Bright spatial solitons in controlled negative phase metamaterials

Boardman, A. D.; Mitchell‐Thomas, R. C.; King, Neil; Rapoport, Yuriy

doi:10.1016/j.optcom.2009.09.024

Cited by 46 publications

(28 citation statements)

References 57 publications

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“…More particularly, we reveal that their dynamical behaviour can be influenced and controlled, by metamaterial effects, namely the self-steepening, and magnetooptic effects. Here we restrict our analysis to temporal forms of rogue solutions, however, it is worth mentioning that both spatial and temporal waveform solutions can be considered in metamaterials, in a similar way to the standard soliton solution [120,121].…”

Section: Simulationsmentioning

confidence: 99%

Waves in hyperbolic and double negative metamaterials including rogues and solitons

et al. 2017

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The topics here deal with some current progress in electromagnetic wave propagation in a family of substances known as metamaterials. To begin with, it is discussed how a pulse can develop a leading edge that steepens and it is emphasised that such self-steepening is an important inclusion within a metamaterial environment together with Raman scattering and third-order dispersion whenever very short pulses are being investigated. It is emphasised that the self-steepening parameter is highly metamaterial-driven compared to Raman scattering, which is associated with a coefficient of the same form whether a normal positive phase, or a metamaterial waveguide is the vehicle for any soliton propagation. It is also shown that the influence of magnetooptics provides a beautiful and important control mechanism for metamaterial devices and that, in the future, this feature will have a significant impact upon the design of data control systems for optical computing. A major objective is fulfiled by the investigations of the fascinating properties of hyperbolic media that exhibit asymmetry of supported modes due to the tilt of optical axes. This is a topic that really merits elaboration because structural and optical asymmetry in optical components that end up manipulating electromagnetic waves is now the foundation of how to operate some of the most successful devices in photonics and electronics. It is pointed out, in this context, that graphene is one of the most famous plasmonic media with very low losses. It is a two-dimensional material that makes the implementation of an effectivemedium approximation more feasible. Nonlinear non-stationary diffraction in active planar anisotropic hyperbolic metamaterials is discussed in detail and two approaches are compared. One of them is based on the averaging over a unit cell, while the other one does not include sort of averaging. The formation and propagation of optical spatial solitons in hyperbolic metamaterials is also considered with a model of the response of hyperbolic metamaterials in terms of the homogenisation ('effective medium') approach. The model has a macroscopic dielectric tensor encompassing at least one negative eigenvalue. It is shown that light propagating in the presence of hyperbolic dispersion undergoes negative (anomalous) diffraction. The theory is ten broadened out to include the influence of the orientation of the optical axis with respect to the propagation wave vector. Optical rogue waves Nanotechnology Nanotechnology 28 (2017) 444001 (41pp) https://doi.org/10.1088/1361-6528/aa679211 Author to whom any correspondence should be addressed.0957-4484/17/444001+41$33.00 © 2017 IOP Publishing Ltd Printed in the UK 1 are discussed in terms of how they are influenced, but not suppressed, by a metamaterial background. It is strongly discussed that metamaterials and optical rogue waves have both been making headlines in recent years and that they are, separately, large areas of research to study. A brief background of the inevitable linkage of them i...

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Section: Simulationsmentioning

confidence: 99%

Waves in hyperbolic and double negative metamaterials including rogues and solitons

et al. 2017

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“…The basic one-dimensional nonlinear Schrodinger equation, for an amplitude A, is shown in Fig.1(b). The latter illustrates both the spatial and temporal cases and also shows that a parametric control of diffraction can be introduced through a parameter D. The latter can be effected by making the spatial solitons encounter an alternating layered [10] structure along the z-axis, the propagation direction. Fig.2(b) also indicates that additional terms can be added to the classic nonlinear Schrodinger equation to account for a range of controlling influences that include magnetooptics.An important, point to make, however, is that the additional influences are open to metamaterial impact.…”

Section: Introductionmentioning

confidence: 93%

“…varying amplitudes is, indeed, a fundamental step in the solution of Maxwell's equations, including control by nonlinearity. The soliton family includes spatial and temporal [10,11] varieties, and is governed by the what is called the nonlinear Schrodinger equation. Fig.1(a) shows an example of how one-dimensional spatial solitons can be generated in a planar guide.…”

Section: Introductionmentioning

confidence: 99%

Advanced solitonic metamaterial structures under external magnetophotonic control

Boardman

Egan

2013

SPIE Proceedings

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Metamaterial research is an extremely important global activity that promises to change our lives in many different ways, including making objects invisible and having a very dramatic impact upon the energy and medical sectors of society. Behind all of the applications, however, lies the design of metamaterials and this can be led by elegant routes that include nonlinearity, waveguide complexity and structured light. The associated optical device formats often involve coupling to soliton behavior. Vortex formation is going to be a critical feature for future applications focusing attention upon the role of angular momentum in special metamaterial-driven light beams. In this context nonlinear diffraction must be assessed and some discussion of a magnetooptical environment will be included. Solitonic behavior of light beams will be mentioned, including what have now become known as Peregrine solitons.

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“…[16][17][18][19][20][21][22][23][24][25] There are several advantages of metamaterials over optical fibers. The details of these pros have been recently reported.…”

Section: Introductionmentioning

confidence: 99%

Solitons in Optical Metamaterials with Trial Solution Approach and Bäcklund Transform of Riccati Equation

Arnous

Mirzazadeh

Moshokoa

et al. 2015

j comput theor nanosci

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This paper obtains soliton solutions in optical metamaterials. There are a couple of integration techniques that are applied to the nonlinear Schrödinger's equation, with full nonlinearity, that serves as the governing model. These are trial solution approach and application of Bäcklund transform to Riccati equation. There are four types of nonlinear media that are studied in this paper. They are Kerr law that is also referred to as cubic law, power law, parabolic law occasionally referred to as cubic-quintic law and finally dual-power law nonlinearity. Bright, dark and singular soliton solutions are obtained in optical metamaterials with the aid of the two algorithms. As a byproduct of these two approaches, singular periodic solutions and plane wave solutions are also listed although these are not utilized in optical metamaterials. There are several constraint conditions that naturally fall out from the solution structure. These conditions guarantee the existence of these variety of solutions.

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Bright spatial solitons in controlled negative phase metamaterials

Cited by 46 publications

References 57 publications

Waves in hyperbolic and double negative metamaterials including rogues and solitons

Waves in hyperbolic and double negative metamaterials including rogues and solitons

Advanced solitonic metamaterial structures under external magnetophotonic control

Solitons in Optical Metamaterials with Trial Solution Approach and Bäcklund Transform of Riccati Equation

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